On a uniform analogue of paracompact spaces

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

CC0 1.0 Universal
info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

In this work we introduce and study uniformly paracompact spaces. In particular, the characterizations of uniformly paracompact spaces by using Hausdorff compact extensions and mappings are obtained. Definition 1. A uniform space (X, U) is called uniformly paracompact if every finitely additive open cover of X has a ?-locally finite uniform refinement. Theorem 1. If (X, U) is a uniform paracompact space, then the topological space (X, ?U ) is paracompact. Conversely, if (X, ? ) is paracompact, then the uniform space (X, UX), where UX is the universal uniformity, is uniformly paracompact.

Açıklama

Anahtar Kelimeler

Uniform paracompactness, Finitely additive open covering, ?-locally finite uniform covering

Kaynak

International Conference of Mathematical Sciences (ICMS 2019)

WoS Q Değeri

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Sayı

Künye

Kanetov, B. ve Baidzhuranova, A. (2019). On a uniform analogue of paracompact spaces. International Conference of Mathematical Sciences (ICMS 2019). s.15.